138 citations · 1.8k across the 53 of their papers we have counts for
53 papers
Correlators in the theory of Integral Discriminants
A. Morozov, Sh. Shakirov
Integral discriminants provide a simple and fundamental model for non-Gaussian integrals, associated with homogeneous polynomials of degree r in n variables. We argue that, in this…
5D AGT conjecture for circular quivers
A. Mironov, A. Morozov, Sh. Shakirov
The best way to represent generic conformal blocks is provided by the free-field formalism, where they acquire a form of multiple Dotsenko-Fateev-like integrals of the screening op…
Cauchy identities for genus 2 Schur polynomials
S. Arthamonov, Sh. Shakirov, W. Yan
Genus 2 Macdonald polynomials generalize ordinary Macdonald polynomials in several aspects. First, they provide common eigenfunctions for commuting differ…
Deformation of superintegrability in the Miwa-deformed Gaussian matrix model
A. Mironov, A. Morozov, A. Popolitov +1
We consider an arbitrary deformation of the Gaussian matrix model parameterized by Miwa variables . One can look at it as a mixture of the Gaussian and logarithmic (Selberg) p…
Summing up perturbation series around superintegrable point
A. Mironov, A. Morozov, A. Popolitov +1
We work out explicit formulas for correlators in the Gaussian matrix model perturbed by a logarithmic potential, i.e. by inserting Miwa variables. In this paper, we concentrate on…
An Elliptic Generalization of Spherical DAHA at
S. Arthamonov, Sh. Shakirov
We construct an algebra that is an elliptic generalization of spherical DAHA acting on its finite-dimensional module at with . We prove that $PSL(2,\mathbb…